Write the order of the following DE models and explain whether each model is convergent or divergent, oscillatory or non-oscillatory. In each case explain why. a) yt = 2.5 +.35 yt-1 b) yt = 4.5 - 1.5 yt-1 c) yt = 1.2 + .75 yt-1 + .3yt-2

Write the order of the following DE models and explain whether each model is convergent or divergent, oscillatory or non-oscillatory. In each case explain why. a) yt = 2.5 +.35 yt-1 b) yt = 4.5 - 1.5 yt-1 c) yt = 1.2 + .75 yt-1 + .3yt-2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Write the order of the following DE models and explain whether each model is convergent or divergent, oscillatory or non-oscillatory. In each case explain why.

a) y_t = 2.5 +.35 y_t-1

b) y_t = 4.5 - 1.5 y_t-1

c) y_t = 1.2 + .75 y_t-1 + .3y_t-2

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